Solve 3/8+5/12+5/32=

$$\frac { 3 } { 8 } + \frac { 5 } { 12 } + \frac { 5 } { 32 } =$$

Evaluate

$$\frac{91}{96}\approx 0.947916667$$

Solution Steps

Least common multiple of 8 and 12 is 24. Convert \frac{3}{8} and \frac{5}{12} to fractions with denominator 24.

$$\frac{9}{24}+\frac{10}{24}+\frac{5}{32}$$

Since \frac{9}{24} and \frac{10}{24} have the same denominator, add them by adding their numerators.

$$\frac{9+10}{24}+\frac{5}{32}$$

Add 9 and 10 to get 19.

$$\frac{19}{24}+\frac{5}{32}$$

Least common multiple of 24 and 32 is 96. Convert \frac{19}{24} and \frac{5}{32} to fractions with denominator 96.

$$\frac{76}{96}+\frac{15}{96}$$

Since \frac{76}{96} and \frac{15}{96} have the same denominator, add them by adding their numerators.

$$\frac{76+15}{96}$$

Add 76 and 15 to get 91.

$$\frac{91}{96}$$

Factor

$$\frac{7 \cdot 13}{2 ^ {5} \cdot 3} = 0.9479166666666666$$